SciELO - Scientific Electronic Library Online

 
vol.40 issue2Leibniz on the existence of atoms author indexsubject indexarticles search
Home Pagealphabetic serial listing  

Services on Demand

Journal

Article

Indicators

Related links

Share


Manuscrito

Print version ISSN 0100-6045On-line version ISSN 2317-630X

Abstract

VENTURI, Giorgio. A note on the introduction of Hilbert’s Grundlagen der Geometrie. Manuscrito [online]. 2017, vol.40, n.2, pp.5-17. ISSN 0100-6045.  http://dx.doi.org/10.1590/0100-6045.2017.v40n2.gv.

We present and discuss a change in the introduction of Hilbert’s Grundlagen der Geometrie between the first and the subsequent editions: the disappearance of the reference to the independence of the axioms.

We briefly outline the theoretical relevance of the notion of independence in Hilbert’s work and we suggest that a possible reason for this disappearance is the discovery that Hilbert’s axioms were not, in fact, independent. In the end we show how this change gives textual evidence for the connection between the notions of independence and simplicity.

Keywords : Hilbert; geometry; independence; simplicity; Grundlagen der Geometrie.

        · text in English     · English ( pdf )